Solution 3.3:2h

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The argument in the logarithm can be rewritten as
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<center> [[Image:3_3_2h.gif]] </center>
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<math>\frac{1}{10^{2}}=10^{-2}</math>
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and then the log law
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<math>\lg a^{b}=b\lg a</math>
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gives the rest:
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<math>\lg \frac{1}{10^{2}}=\lg 10^{-2}=\left( -2 \right)\centerdot \lg 10=\left( -2 \right)\centerdot 1=-2</math>

Revision as of 13:46, 25 September 2008

The argument in the logarithm can be rewritten as \displaystyle \frac{1}{10^{2}}=10^{-2} and then the log law \displaystyle \lg a^{b}=b\lg a gives the rest:


\displaystyle \lg \frac{1}{10^{2}}=\lg 10^{-2}=\left( -2 \right)\centerdot \lg 10=\left( -2 \right)\centerdot 1=-2

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